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Equation 5 · Part 1 · What Alignment Actually Costs

Symbol C_human

Chuman=n⋅cˉC_{\mathrm{human}} = n \cdot \bar{c}
ChumanC_{\mathrm{human}}

What this part means

ChC_human is part of the quantity the equation computes from the expression on the right.

Its job in the formula

ChC_human is part of the quantity the equation computes from the expression on the right.

The passage around this formula

The unit economics matter because a dataset’s cost is close to linear in its size: Chuman=n⋅cˉC_{\mathrm{human}} = n \cdot \bar{c}. with n comparisons collected at a mean cost cˉ\bar{c} per comparison. The direct comparison published in the RLAIF paper puts numbers on both sides of a genuinely useful substitution. Lee and colleagues estimate that an AI-generated preference label produced with two inference passes of GPT-4 — used to correct for position bias, at an average of about 830 prompt tokens and 61 tokens of chain-of-thought rationale — costs about 0.06 US dollars per example, against about 0.67 US dollars per example for a human label purchased through a commercial annotation service pricing at roughly 0.11 US…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the surrounding passage

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